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Finding the Fourth Proportional to 407,591.95, 611,517.09 and 317,942.04

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Solution

The fourth proportional to 407,591.95, 611,517.09 and 317,942.04 is: 477,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,591.95 : 611,517.09 = 317,942.04 : x
  2. Step 2: Convert to fraction form
    407,591.95/611,517.09 = 317,942.04/x
  3. Step 3: Cross multiply
    407,591.95x = 611,517.09 × 317,942.04
  4. Step 4: Simplify right side
    407,591.95x = 194,426,989,415.26
  5. Step 5: Solve for x
    x = 194,426,989,415.26/407,591.95
  6. Step 6: Final answer
    x = 477,013.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.